The real answer is all those annoying pseudo-intellectuals at parties (ie. Myself) will move on to "If the tips of scissors always travel twice as fast as the base then what happens if I shut them at the speed of light"
I assume you mean close to the speed of light, the idea being the tips would travel faster than the speed of light. It couldn't happen because it would require infinite energy to close the scissors fast enough that the tips would be travelling at the speed of light. Also given the friction that scissor blades naturally have with each other, odds are one or both of them would break long before they ever reached that point.